Abstract
Small-cell, open capacity sharing scenarios in Cognitive Radio (CR) environments are studied from a game theoretical (GT) perspective. Simultaneous capacity requests in small-cell scenarios are modelelled as strategic interactions between CRs and analysed as resource access games. CR capacity access competition is modelled based on discrete reformulations of the Bertrand GT model. Detected equilibria describe stable game situations. Numerical simulations identify situations where Nash equilibrium (NE) is both fair and Pareto efficient or where there are multiple NE solutions to choose from, indicating a flexible range for CR strategies. Adding to the analysis are the joint Nash-Pareto solutions (intermediate between Nash and Pareto) capturing heterogeneous behaviour of players. Stable and equitable states are detected even when players have different biases.
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